I bet you could pick up the tenor sax without too much hassle if you wanted to play some more jazz. The fingerings for both registers on the sax are the same as for the upper register on clarinet, so it doesn't get confusing. With both instruments being B
b instruments you can use the same music without having to transpose as well. When I was younger I played sax in a "big band" style group for a while. We played a few free gigs in local jazz clubs and it was always a brilliant night out. Do some playing and have some beers
Of course, if you want to take this route, you will have the problem of having to get hold of a saxophone